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Infinity is not a number.

There are different classes of infinity:

The sets of natural numbers, integers, rational numbers all belong to the smallest class, with a cardinality of Aleph-null.

The sets of Irrational Numbers and real numbers belong to the next higher level of infinity, with cardinality Aleph-One.

Infinity can give rise to a very large number of apparent paradoxes - infinitely many of them?

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